Which of the following is a solution to the equation y = 3x-1?
(1 point)
O (4.1)
O (2,5)
O (4,3)
O (0,-3)
The correct answer is: (4,3)
We can find the solution to the equation by substituting values for x and checking if they satisfy the equation.
For option (4.1), let's substitute x = 4.1 into the equation:
y = 3(4.1) - 1
y = 12.3 - 1
y = 11.3
So, (4.1) is not a solution to the equation.
For option (2,5), let's substitute x = 2 into the equation:
y = 3(2) - 1
y = 6 - 1
y = 5
So, (2,5) is a solution to the equation.
For option (4,3), let's substitute x = 4 into the equation:
y = 3(4) - 1
y = 12 - 1
y = 11
So, (4,3) is not a solution to the equation.
For option (0,-3), let's substitute x = 0 into the equation:
y = 3(0) - 1
y = -1
So, (0,-3) is not a solution to the equation.
Therefore, the solution to the equation y = 3x - 1 is (2,5).
To determine which of the options is a solution to the equation y = 3x - 1, we need to substitute each set of (x, y) values into the equation and check if it holds true.
Option (4.1) does not match the format of (x, y) since it only provides a single value instead of a pair.
Let's check the other options:
Option (2,5):
Substitute x = 2 and y = 5 into the equation:
5 = 3(2) - 1
5 = 6 - 1
5 = 5
The equation holds true for option (2,5), so it is a solution.
Option (4,3):
Substitute x = 4 and y = 3 into the equation:
3 = 3(4) - 1
3 = 12 - 1
3 = 11
The equation does not hold true for option (4,3), so it is not a solution.
Option (0,-3):
Substitute x = 0 and y = -3 into the equation:
-3 = 3(0) - 1
-3 = 0 - 1
-3 = -1
The equation does not hold true for option (0,-3), so it is not a solution.
Therefore, the only solution is option (2,5).